20819109010000 has 100 divisors (see below), whose sum is σ = 57605879992672. Its totient is φ = 7137980208000.

The previous prime is 20819109009989. The next prime is 20819109010027. The reversal of 20819109010000 is 1090191802.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 148637922 + ... + 148777921.

Almost surely, 2^{20819109010000} is an apocalyptic number.

20819109010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20819109010000 is an abundant number, since it is smaller than the sum of its proper divisors (36786770982672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20819109010000 is an equidigital number, since it uses as much as digits as its factorization.

20819109010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297415878 (or 297415857 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 31.

The spelling of 20819109010000 in words is "twenty trillion, eight hundred nineteen billion, one hundred nine million, ten thousand".